If you were asked to guess a number between 1 and 895?

Question

If you were asked to guess a number between 1 and 895, and after each guess you were told if your guess was "too high" or "too low". Assuming you are guessing smartly what is the maximum number of guesses you could possibly have before guessing the correct number?

Answer 1

Ten guesses is all I would need. Assuming that the number is a whole number (an integer). Also assuming that that I would be told if I guessed the number, so the answer after each guess is "too high", "to low", or "correct".

Answer 2

log2 (895 - 1 + 1) + 1 = log2 (895) + 1 = 9.80 + 1 = 10



You can guess the number with just 10 times!



;-)



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Answer 3

895 guesses is the max.



The correct number could be 895 and you could guess 1,2,3....and so on.